Self-bumping of deformation spaces of hyperbolic 3-manifolds

Kenneth Bromberg; John Holt

Self-bumping of deformation spaces of hyperbolic 3-manifolds

Geometric Topology 2007-05-23 v1

Authors: Kenneth Bromberg , John Holt

Abstract

Let $N$ be a hyperbolic 3-manifold and $B$ a component of the interior of $AH(\pi_1(N))$ , the space of marked hyperbolic 3-manifolds homotopy equivalent to $N$ . We will give topological conditions on $N$ sufficient to give $\rho \in \bar{B}$ such that for every small neighborhood $V$ of $\rho$ , $V \cap B$ is disconnected. This implies that $\bar{B}$ is not manifold with boundary.

Keywords

deformation spaces hyperbolic 3-manifolds self-bumping ah(n) topological conditions

Cite

@article{arxiv.math/0009151,
  title  = {Self-bumping of deformation spaces of hyperbolic 3-manifolds},
  author = {Kenneth Bromberg and John Holt},
  journal= {arXiv preprint arXiv:math/0009151},
  year   = {2007}
}

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